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Mathematics

1 answer:

never [62]3 years ago

7 0

Answer:

r = 0.93

Step-by-step explanation:

The correlation coefficient gives us the "strongness" of two variables associated.

This is the value "r".

It is positive if there is strong relationship (one goes up, another goes up and vice versa)

It is negative, if one goes up and another goes down (inverse relationship)

First of all, from the scatter points, we see that as x increases, y also tend to increase. And if we were to draw a line of best fit that goes through max points, we would see the line slopes UPWARD (means as x increases, y also increase).

Thus, the value of "r" will be positive. So we can eliminate first and second choice. Now remains the other two choices

0.64

0.93

The closer the value to 1, the more that line is slopier, and less that value from 1, the line will be less "slopy".

A perfect one would be a line with slope 1, as 1 unit increase in x, the y increases 1 unit as well.

So, if we were to draw a line, we would see that it will be very close to a value of 1. The value of 0.64 can be eliminated because the points are not much "relaxed" as it should be for 0.64.

So, the correct choice is the 4th choice, r = 0.93

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Vitek1552 [10]

All the answers to the given parts are mentioned below -

<h3>What is the general equation of a Straight line? How it represents a proportional relationship?</h3>

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

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We have a cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one-half gallon of water is needed, and for every 6 scoops of mix, one and one-half gallons of water are needed.

We can write the proportional relationship as -

y = kx

Now, from the given information, we can write -

2 scoops need 0.5 gallon of water

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So -

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k = 2 x 2 = 4

Equations that represents the relationship can be written as -

y = 4x + c

Now, 2 scoops need 0.5 gallon of water.